Lengths of Paths and Cycles in Zero-Divisor Graphs and Digraphs of Semigroups

DOI10.1080/00927870701247146zbMath1183.13009OpenAlexW1992924907MaRDI QIDQ5756460

Stephen E. Wright

Publication date: 4 September 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701247146

zbMATH Keywords

diametergirthnoncommutative ringsnoncommutative semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Graph theory (05C99) General commutative ring theory (13A99)

Related Items (9)

Digraph of the full transformation semigroup ⋮ On a graph of monogenic semigroups ⋮ On the extended zero-divisor graph of strictly partial transformation semigroup ⋮ On the dot product of graphs over monogenic semigroups ⋮ The McCoy condition on skew monoid rings ⋮ The Zero-Divisor Graph of a Commutative Semigroup: A Survey ⋮ Unnamed Item ⋮ ZERO-DIVISOR GRAPHS OF ÖRE EXTENSION RINGS ⋮ On generalized power series rings with some restrictions on zero-divisors

Cites Work

• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS

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